US5838403A - Liquid crystal display system with internally reflecting waveguide for backlighting and non-Lambertian diffusing - Google Patents
Liquid crystal display system with internally reflecting waveguide for backlighting and non-Lambertian diffusing Download PDFInfo
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- US5838403A US5838403A US08/601,133 US60113396A US5838403A US 5838403 A US5838403 A US 5838403A US 60113396 A US60113396 A US 60113396A US 5838403 A US5838403 A US 5838403A
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B6/00—Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings
- G02B6/0001—Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings specially adapted for lighting devices or systems
- G02B6/0011—Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings specially adapted for lighting devices or systems the light guides being planar or of plate-like form
- G02B6/0033—Means for improving the coupling-out of light from the light guide
- G02B6/0035—Means for improving the coupling-out of light from the light guide provided on the surface of the light guide or in the bulk of it
- G02B6/0038—Linear indentations or grooves, e.g. arc-shaped grooves or meandering grooves, extending over the full length or width of the light guide
-
- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B6/00—Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings
- G02B6/0001—Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings specially adapted for lighting devices or systems
- G02B6/0011—Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings specially adapted for lighting devices or systems the light guides being planar or of plate-like form
- G02B6/0013—Means for improving the coupling-in of light from the light source into the light guide
- G02B6/0015—Means for improving the coupling-in of light from the light source into the light guide provided on the surface of the light guide or in the bulk of it
- G02B6/0018—Redirecting means on the surface of the light guide
-
- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B6/00—Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings
- G02B6/0001—Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings specially adapted for lighting devices or systems
- G02B6/0011—Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings specially adapted for lighting devices or systems the light guides being planar or of plate-like form
- G02B6/0013—Means for improving the coupling-in of light from the light source into the light guide
- G02B6/0023—Means for improving the coupling-in of light from the light source into the light guide provided by one optical element, or plurality thereof, placed between the light guide and the light source, or around the light source
- G02B6/0031—Reflecting element, sheet or layer
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B6/00—Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings
- G02B6/0001—Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings specially adapted for lighting devices or systems
- G02B6/0011—Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings specially adapted for lighting devices or systems the light guides being planar or of plate-like form
- G02B6/0033—Means for improving the coupling-out of light from the light guide
- G02B6/0035—Means for improving the coupling-out of light from the light guide provided on the surface of the light guide or in the bulk of it
- G02B6/0036—2-D arrangement of prisms, protrusions, indentations or roughened surfaces
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B6/00—Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings
- G02B6/0001—Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings specially adapted for lighting devices or systems
- G02B6/0011—Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings specially adapted for lighting devices or systems the light guides being planar or of plate-like form
- G02B6/0033—Means for improving the coupling-out of light from the light guide
- G02B6/0058—Means for improving the coupling-out of light from the light guide varying in density, size, shape or depth along the light guide
- G02B6/0061—Means for improving the coupling-out of light from the light guide varying in density, size, shape or depth along the light guide to provide homogeneous light output intensity
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- G—PHYSICS
- G02—OPTICS
- G02F—OPTICAL DEVICES OR ARRANGEMENTS FOR THE CONTROL OF LIGHT BY MODIFICATION OF THE OPTICAL PROPERTIES OF THE MEDIA OF THE ELEMENTS INVOLVED THEREIN; NON-LINEAR OPTICS; FREQUENCY-CHANGING OF LIGHT; OPTICAL LOGIC ELEMENTS; OPTICAL ANALOGUE/DIGITAL CONVERTERS
- G02F1/00—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics
- G02F1/01—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics for the control of the intensity, phase, polarisation or colour
- G02F1/13—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics for the control of the intensity, phase, polarisation or colour based on liquid crystals, e.g. single liquid crystal display cells
- G02F1/133—Constructional arrangements; Operation of liquid crystal cells; Circuit arrangements
- G02F1/1333—Constructional arrangements; Manufacturing methods
- G02F1/1335—Structural association of cells with optical devices, e.g. polarisers or reflectors
- G02F1/1336—Illuminating devices
- G02F1/133602—Direct backlight
- G02F1/133606—Direct backlight including a specially adapted diffusing, scattering or light controlling members
- G02F1/133607—Direct backlight including a specially adapted diffusing, scattering or light controlling members the light controlling member including light directing or refracting elements, e.g. prisms or lenses
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- G—PHYSICS
- G02—OPTICS
- G02F—OPTICAL DEVICES OR ARRANGEMENTS FOR THE CONTROL OF LIGHT BY MODIFICATION OF THE OPTICAL PROPERTIES OF THE MEDIA OF THE ELEMENTS INVOLVED THEREIN; NON-LINEAR OPTICS; FREQUENCY-CHANGING OF LIGHT; OPTICAL LOGIC ELEMENTS; OPTICAL ANALOGUE/DIGITAL CONVERTERS
- G02F1/00—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics
- G02F1/01—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics for the control of the intensity, phase, polarisation or colour
- G02F1/13—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics for the control of the intensity, phase, polarisation or colour based on liquid crystals, e.g. single liquid crystal display cells
- G02F1/133—Constructional arrangements; Operation of liquid crystal cells; Circuit arrangements
- G02F1/1333—Constructional arrangements; Manufacturing methods
- G02F1/1335—Structural association of cells with optical devices, e.g. polarisers or reflectors
- G02F1/1336—Illuminating devices
- G02F1/133615—Edge-illuminating devices, i.e. illuminating from the side
Definitions
- the present invention relates in general to the field of liquid crystal display (LCD) systems. More particularly, the present invention relates to a liquid crystal display that is illuminated with collimated backlighting. In a preferred embodiment, the present invention relates to a liquid crystal display system that includes a collimating backlight and a non-Lambertian diffuser. The present invention thus relates to liquid crystal display systems of the type that can be termed collimated backlit non-Lambertian diffused.
- a conventional liquid crystal display is typically illuminated with a backlight device.
- a backlight device typically includes an illumination source located at one edge of a planar waveguide.
- prior art liquid crystal display backlights have been based on a rectilinear waveguide having a transparent top surface and a metallized bottom surface. Such backlights are conventionally powered by a single fluorescent lamp located at one edge of the rectilinear waveguide, or by two lamps located at two edges.
- U.S. Pat. No. 5,390,276 discloses a backlight assembly utilizing microprisms.
- U.S. Pat. No. 5,365,354 discloses a GRIN type diffuser based on volume holographic material.
- U.S. Pat. No. 5,359,691 discloses a backlighting system with a multi-reflection light injection system.
- U.S. Pat. No. 5,253,151 discloses luminaire for use in backlighting a liquid crystal display matrix.
- U.S. Pat. No. 5,050,946 discloses a faceted light pipe.
- U.S. Pat. No. 5,202,950 discloses a backlighting system with faceted light pipes.
- U.S. Ser. No. 08/393,050 discloses a light source destructuring and shaping device.
- the present invention is directed to a liquid crystal display system having a collimating backlight and a non-Lambertian diffuser.
- An effect of the present invention is to project light through a liquid crystal display.
- a primary object of the invention is to provide an apparatus that efficiently couples light from the illumination source into the waveguide. Another object of the invention is to provide an apparatus that collimates the light from the illumination source so that the maximum amount of light from the illumination source can be coupled through the polarizer of the liquid crystal display. Another object of the invention is to provide an apparatus that increases the brightness of a liquid crystal display. Another object of the invention is to provide an apparatus having lower power consumption. Another object of the invention is to provide an apparatus with more homogenous light distribution. Another object of the invention is to provide an apparatus that is cost effective. Another object of the invention is to provide an apparatus having directionality. Another object of the invention is to provide an apparatus that is rugged and reliable, thereby decreasing down time and operating costs. Another object of the invention is to provide an apparatus that has one or more of the characteristics discussed above but which is relatively simple to manufacture and assemble using a minimum of equipment.
- an apparatus comprising an illumination source for producing light; a first distributed wedge collimating waveguide optically connected to said illumination source, said first distributed wedge collimating waveguide including a top surface, an incident end and a first plurality of substantially parallel optical elements for redirecting light from said incident end to said top surface and through said top surface by leakage, each of said first plurality of substantially parallel optical elements including a first facet that is nonparallel to said top surface and a second facet that is nonparallel to said top surface; a second distributed wedge collimating waveguide optically connected to said first distributed wedge collimating waveguide, said second distributed wedge collimating waveguide including an upper surface and a second plurality of substantially parallel optical elements for redirecting light that is leaked through said top surface through said upper surface; and a reflector optically connected to said light source and optically connected to said first distributed wedge collimating waveguide, said reflector (1) at least partially surrounding said illumination source, and (2) reflecting light from said illumination source to said
- Another object of the invention is to provide a method that can be used to illuminate a liquid crystal display. Another object of the invention is to provide a method that is predictable and reproducible, thereby decreasing variance and operating costs. Another object of the invention is to provide a method that has one or more of the characteristics discussed above but which is which is relatively simple to setup and operate using relatively low skilled workers.
- a method of illuminating a liquid crystal display which utilizes an apparatus comprising: an illumination source; a first collimating waveguide optically connected to said illumination source, said first collimating waveguide including a top surface, an incident end and a first plurality of substantially parallel optical elements for redirecting light from said incident end to, and through, said top surface each of said first plurality of substantially parallel optical elements including a first facet that is nonparallel to said top surface and a second facet that is nonparallel to said top surface; a second collimating waveguide optically connected to said first collimating waveguide, said second collimating waveguide including an upper surface and a second plurality of substantially parallel optical elements for redirecting light from said top surface through said upper surface; and a reflector optically connected to said light source and optically connected to said first distributed wedge collimating waveguide, wherein each of said second plurality of substantially parallel optical elements is an imaging optic.
- FIG. 1 illustrates a perspective view of a conventional liquid crystal display backlight, appropriately labeled "PRIOR ART";
- FIG. 2 illustrates a partial sectional view of a portion of the conventional liquid crystal display backlight shown in FIG. 1, appropriately labeled "PRIOR ART";
- FIG. 3 illustrates a schematic view of a liquid crystal display system according to the present invention
- FIG. 4 illustrates a perspective view of a liquid crystal display backlight according to the present invention
- FIG. 5 illustrates a partial sectional view of the liquid crystal display backlight shown in FIG. 4;
- FIG. 6 illustrates a partial sectional view of another liquid crystal display backlight according to the present invention.
- FIG. 7 illustrates a partial sectional view of a collimating waveguide according to the present invention
- FIG. 8 illustrates a perspective view of a collimating waveguide according to the present invention
- FIG. 9 illustrates a sectional view of a wedge collimating waveguide according to the present invention.
- FIG. 10 illustrates a sectional view of a distributed wedge collimating waveguide according to the present invention
- FIG. 11 illustrates an elevational view of a portion of a liquid crystal display system according to the present invention
- FIG. 12 illustrates a partial sectional view of a portion of the liquid crystal display system shown in FIG. 11;
- FIG. 13 illustrates a partial sectional view of a collimating waveguide according to the present invention
- FIG. 14 illustrates a partial sectional view of a liquid crystal display system according to the present invention
- FIG. 15 illustrates a partial sectional view of a collimating waveguide according to the present invention
- FIG. 16 illustrates a schematic sectional view of a portion of the collimating waveguide shown in FIG. 15;
- FIG. 17A illustrates a perspective view of a portion of a collimating waveguide according to the present invention
- FIG. 17B illustrates a perspective view of a portion of an imaging collimating waveguide according to the present invention
- FIG. 17C illustrates a perspective view of a portion of a collimating waveguide according to the present invention
- FIG. 18 illustrates a schematic view of a recording configuration for making diffusers according to the present invention
- FIG. 19 illustrates a partial sectional view of a collimating waveguide according to the present invention.
- FIG. 20 illustrates a geometrical construction of a portion of a collimating waveguide according to the present invention
- FIG. 21 illustrates a geometrical construction of a portion of a collimating waveguide according to the present invention
- FIG. 22 illustrates a geometrical construction of a portion of a collimating waveguide according to the present invention
- FIG. 23 illustrates a portion of a collimating waveguide according to the present invention
- FIG. 24 illustrates a portion of a collimating waveguide according to the present invention
- FIG. 25 illustrates a portion of a collimating waveguide according to the present invention.
- FIG. 26 illustrates a portion of a collimating waveguide according to the present invention.
- a conventional liquid crystal display backlight is shown where light from illumination source 1 travels to backlighting light pipe 2 through separate light pipe 3. Separate light pipe 3 is divided into a number of laterally adjacent sections.
- FIG. 2 a partial cross sectional view of the backlighting light pipe 2 in FIG. 1 is shown. The divergence of the incoming light is reduced.
- the present invention includes a generally planar collimating waveguide assembly provided with facets.
- FIG. 4 shows an isometric view of a light engine 90 connected to a waveguide collimator assembly 1000.
- the collimating waveguide assembly can be embodied in several nonmutually exclusive configurations. Subcomponents of these configurations are interchangeable and can be combined.
- light engine 10 is connected to waveguide collimator 25.
- Waveguide collimator 25 is connected to homogenizing diffuser 30.
- Liquid crystal display 40 is connected to diffuser 30.
- Light shaping diffuser 45 is connected to liquid crystal display 40.
- An additional light engine 50 can also be connected to waveguide collimator 25. The order of light shaping diff-user 30 and liquid crystal display 40 can be reversed.
- the liquid crystal display system includes several components. These components can include an illumination source, a reflector, one or more nonimaging optics, a collimating waveguide assembly, a diffuser/homogenizer, a liquid crystal display and a non-Lambertian diffuser.
- these components can include an illumination source, a reflector, one or more nonimaging optics, a collimating waveguide assembly, a diffuser/homogenizer, a liquid crystal display and a non-Lambertian diffuser.
- Equation (42) is a result of Liouvilles' theorem.
- D is the width of the waveguide.
- d is the diameter of the emitter, or source.
- ⁇ is the output angle in air:
- Equation (42) The 90° factor in Equation (42) is based on the fact that light is coming from the source in all directions.
- the optimum light collimating engine, according to Equation (42), provides not only maximum collimation (i.e., minimum angle ⁇ ), but also uniform illumination. Those related designs that are almost optimum are also applicable to this invention.
- the reflector is preferably an extended source arcuate mirror.
- arcuate describes an arc, or curve in 2, or 3, dimensions. Welford.sup.(1) has discussed optimum collimation of light emitted by an extended source, especially spherical and cylindrical sources.
- the optimum design of the reflector is very characteristic of the intended light source and is not actually parabolic. A parabolic shape is actually unsatisfactory for extended sources.
- An arcuate mirror structure can provide an ideal fixture for attachment of the light source to the rest of the structure. As the illumination source moves away from the transformer, optimization of the design of the extended source arcuate mirror reflector increases in importance.
- the waveguide e.g., optical fiber
- the width approaches several millimeters.
- FIG. 7 represents a theoretical construction of a waveguide into which light is being coupled.
- Light which is incident normal to the entry edge of the waveguide passes directly into it without being refracted.
- Light at an angle is refracted.
- low light entering non-normal to the incident surface is collimated.
- the first case scenario light at 90° is coupled at a critical angle of approximately 40° given an index of refraction for the media of 1.55.
- the incident angle in the waveguide ⁇ is equal to approximately 50°. This value is approximately 50° and larger than ⁇ c so all of the light which enters the waveguide collimator is contained within the waveguide collimator by total internal reflection (TIR).
- TIR total internal reflection
- TIR total internal reflection
- 5,390,276 and 5,359,691 realize only one collimation factor, this being collimation from the source via a parabolic reflector, which as discussed above is not of optimum shape for an extended source as broadly discussed in Welford.sub.(1).
- the figures in these patents indicate that the space within the reflector is filled with solid material which zeros the air-material interface collimation factor discussed above.
- Collimation as discussed in U.S. Pat. Nos. 5,359,691 and 5,390,276 is not actually collimation because of the fact that the triangular prisms which are provided only on the bottom of the backlighting light pipe result in a harvesting of only half of the available light.
- Collimating waveguides can be based on either metallic reflection or total internal reflection (TIR).
- TIR total internal reflection
- the waveguide In the first case the waveguide is empty, usually. In the second case the waveguide is material filled.
- TIR total internal reflection
- the second, total internal reflection (TIR) case is better because total internal reflection (TIR) gives exactly 100% reflection while metallic reflection can easily drop to 80% due to surface dirt, contamination.
- Prior art waveguides for this application generally have one metallized side, for backlighting applications, (e.g., U.S. Pat. No. 5,381,309, the entire contents of which are hereby expressly incorporated by reference).
- a transformer is a generalized waveguide structure that not only transmits light through the waveguide but can also change the direction of this light.
- a transformer that changes the direction of light by 90° (orthogonally) can be used to deliberately leak light in a preferred direction for use in an application.
- Prior art patents show several different ways of designing these leaks.
- U.S. Pat. No. 5,390,276 discloses the use of a retroreflecting screen polarizer for further collimating the light in order to illuminate an LCD.
- a major object of the invention is to provide maximum uniform backlighting for an LCD, and at the same time provide light that is highly collimated.
- a diffuser homogenizes light, but in order for the diffuser to operate properly with an LCD, the light reaching the diffuser must be collimated. Collimation begins when the light engine incident rays enter the waveguide. Secondary collimation can occur when the light is taken from the horizontal direction and deflected toward the vertical direction within the waveguide.
- This first description concerns collimation which occurs as the light enters the waveguide from the source.
- One hundred percent collimating efficiency cannot be achieved if the diameter of the source is larger than the diameter of the waveguide.
- the diameter of the source is equal to or less than the diameter of the waveguide optimum efficiency can be approached.
- losses from the mirrors prohibit 100% coupling. Any discussion of 100% coupling therefore implies that the absorptive losses due to interaction of the light with the mirror is being neglected.
- Design of the reflector must be optimized for a particular d/D ratio. Welford.sup.(1) provides ideal designs for any possible ratio. The ideal design means that the Liouville theorem is satisfied. Satisfaction results in 100% being coupled to the waveguide.
- the ideal design also means that the distribution of light within the waveguide will be homogenous. Any of the resulting designs will be quite far from being parabolic.
- a parabolic design is only optimum for a point, or line, source.
- the volume defined by the interior of the reflector can be filled with a media or be simply air. In either case the interior surface of the reflector must be mirrorized (e.g., metallized).
- the reflection efficiency for deep IR and near IR can approach unity, the reflection efficiency for energy within the visible spectra can easily drop to between 90 and 80% due to inefficiency such as dirt on the surface. Maximum reflection efficiency for any wavelength is approximately 96% assuming a metallized mirror surface. In contrast, total internal reflection (TIR) is always 100%.
- the metallic is never 100% even in the IR case.
- the interior of the reflector should be simply air in order to maximize a collimating effect of Snell's law. Even if the diameter of the source is larger than the thickness of the waveguide the worst case 90° incidence light will be collimated to approximately 40°. Deflection design can still be optimized although it will be impossible to reach 100% coupling. Designs for the large laminar situation will be similar to what is shown in FIG. 5 and even further from parabolic.
- the grooves will have variable spacing, ⁇ x. It should be noted that the microgrooves do not need to be continuous. Note that the scattering centers can be separated which is illustrated by the broken lines.
- I o represents incident light coming from the left.
- I is the intensity after passing through scaler distance x. Total length of the device is L.
- dx represents an infinitesimally small portion of the scaler distance x.
- FIG. 8 shows a section with dx illustrated. In the general geometry, I is input intensity from the left, reduced to I-dI because dI is leaked to the bottom. This property holds for any coordinate x.
- General Equation (1) indicates that the lost leakage of light -dI must be proportional to I.
- Equation (5) Since a and A are both constant integration yields Equation (5).
- Equation (6) represents that the density of grooves is equal to a constant divided by Equation (5), following directly: ##EQU3## Therefore, ⁇ is a function of x and increases monotonically from P o .
- Equation (6B) yields Equation (6C).
- Equation (7) defines a.
- dI/I represents the relative leakage.
- dN is the number of grooves per infinitesimal length.
- a is percentage of leakage per groove.
- Equation (8) represents that intensity at the full length L is O.
- Equation (8) represents a singularity because the density of ⁇ at the full length L cannot reach infinity. For practical purposes, it can be assumed that no more than 5% of the available light is linked all the way to the end. In addition, a mirror can be placed at the end to reflect the light back toward the source.
- Equation (20) represents the total number of grooves, equal to the length divided by ⁇ x which is the average distance between grooves, ⁇ x: ##EQU7##
- Equation (19) can now be calculated because N T is known.
- Equation (22) represents that a is equal to ##EQU9##
- the average leakage per groove is thus 1.5 ⁇ 10 -3 as represented in Equation (22).
- FIG. 13 illustrates calculation of the groove.
- ⁇ x equals the length of a hypotenuse.
- ⁇ A indicates the angle subtended by the hypotenuse with regard to the base of the waveguide.
- ⁇ c is the total critical (TIR) angle of the light that is within the waveguide, approximately 40°.
- FIG. 13 actually represents a worst case scenario for an extended source, assuming that no collimation was done between the source and its entry into the waveguide.
- ⁇ c is the angle between the incident beam on the reflective surface and the reflective beam, ⁇ c being the maximum divergence within the waveguide.
- Equation (25) represents calculation of ⁇ A based on ⁇ c .
- Equation (25) represents calculation of ⁇ A based on ⁇ c .
- ⁇ A represents the optimum angle for splitting the flux represented by ⁇ c , or other maximum divergence angle, smaller than ⁇ c .
- the typical index of refraction range for the materials of interest is from 1.5 to 1.7, assuming a refractive index of 1.55. These materials include plastics, such as, for example, acrylics such as polymethacrylate and polymethylmethacrylate and other polymers.
- Equation (26) assumes that the exterior medium is air having an index of refraction of 1 ⁇ c /2 is approximately 40° under these conditions.
- ⁇ A equals approximately 35° based on this calculation as shown in Equation (26).
- Areas are represented in Equation (28), where a is the loss per groove.
- Equation (28) represents that a percentage of the flux passing a point is not going to intercept the hypotenuse, based on the hypotenuse being a fraction of the total subtended length between the top of the waveguide and the bottom of the waveguide. Total length of each groove hypotenuse is ⁇ x, assuming that the wave front of the waveguide is homogenous. It should be noted that skew rays are being neglected.
- FIG. 14 shows an imaging collimation slab located beneath a collimating waveguide. A gap of 1 micron between the two slabs is more than sufficient to prevent undesired coupling between the structures, assuming 100 micron lens for example.
- the angle incident upon the collimating imaging optic cannot be smaller than ⁇ c .
- the resulting lens diameter is 2 mm, which is far too large.
- the grooves can be arranged in clusters permitting grouping. By grouping the grooves there can be sufficient spacing for the imaging optics.
- the following example represents an average distance of 2 mm between the clusters of grooves.
- N t represents the number of clusters of grooves.
- ⁇ x is the distance between clusters
- H is the lens diameter
- the size of the grooves can be varied much more and their geometrical position can be cruder, therefore the grooves do not need to be prisms because the spherical rays are subsequently image collimated. Errors from the microgroove surfaces can be accommodated with larger imaging optics.
- the prisms of U.S. Pat. Nos. 5,390,276 and 5,359,691 are acting largely as mirrors and if there is distortion due to imperfect structure the result will be divergence that the structure disclosed in these patents will not subsequently correct for.
- the wedge has a sawtooth pattern. These sawtooths represent a distributed wedge.
- the upper section operates by total internal reflection (TIR) preferably, although the angled facet could be metallized. The determination of the angle in the upper section is based on the same bisectrix that was used to derive the angle of the curved surface. In general it will be appreciated that one facet should be approximately vertical and the other approximately 45° in order to yield a straight-up normal collimated output.
- a monolithic wedge divided into a series of solitudes can be characterized as a distributed wedge.
- Equation (101) is the analog of Equation (1), except that the variable a is a function of x and ⁇ is constant. ##EQU14## Equation (16) is identical to Equation (101) and Equation (17) sets a boundary condition. Equation (118) sets p x a equal to a constant A.
- Equation (123) should be compared to Equation (6).
- Equation (123) a is a function of x whereas in Equation (6) ⁇ is a function of x.
- A is a constant in both equations.
- Equation (123) a is variable where ⁇ is constant.
- the variable a is the leakage rate per microelement.
- Equation (125) Assuming that ⁇ is much less than 1 radian, this ⁇ P is used in the following Equation (125): ##EQU18## Equation (126) describes relative leakage for each event. In the distributed wedge the relative leakage per event is proportional to ⁇ and fitting Equation (123) into Equation (126) yields Equation (128). ##EQU19## In Equation (128), ⁇ is changing with x according to the relationship shown in Equation (132). ##EQU20## As ⁇ increases with x to provide constant leakage, it is enabled to regulate ⁇ . Alternatively, ⁇ can be varied as was previously shown.
- Equation (136) Assuming density is constant at 10 per millimeter, ⁇ is constant as shown in Equation (136), ##EQU21## Assuming a total length L of 20 cm, Equation (137) shows that the leak per grove is small. ##EQU22## Equation (140) shows that the beginning angle only needs to be 1/10th of a degree.
- Equation (128) A more precise version of Equation (128) follows, including a consideration of fresnel reflection, (represented by reflection (intensity coefficient) R as graphically depicted in FIG. 19), and material absorption.
- the power p in Equation (128) is replaced by Equation (300):
- Equation (116) Equation (116) becomes:
- ⁇ 1 and ⁇ 1 the relation between ⁇ and ⁇ is ##EQU24##
- Snell's law has been included.
- ⁇ is the leakage angle and ⁇ is the prism angle. This is shown in Table 1.
- Equation (303) is a transcendental one in such a sense that it cannot be solved analytically.
- an optimized curved surface can be easily designed by assuming homogenous incident flux.
- the bottom of an isosceles pit pyramid is not available to a low incident angle ray.
- constructing an arc instead of a flattened prismatic surface reflecting rays coming from the left requires defining the maximum and minimum angles for those rays which can strike any part of the arc based on the geometry of the waveguide. More specifically, at the top of the arc waves cannot arrive at angles lower than 0° because they would be intercepted by the previous apex.
- the curved tooth facet is mirrored and can be referred to as a vignetting effect where there is a limited size and some parts of the beam are blocked by structures.
- the first facet can be flat. Although it's shown as flat to facilitate analysis of the lowest-most ray, the facet can actually be convex or concave.
- the angular spectrum is very limited. The widest angular spectra is at the top, based on the incoming rays.
- the coordinate system labeled has its origin at the base of the structure. The problem is to find z as a function of x for the curved surface.
- the sawtooth geometry, with curved surface 113 is described, leading to the optimum curved surface z(x).
- This is a curved surface rather than a flat surface because the incident beams at points O, Q, P in FIG. 20, have increasing divergence as illustrated by the hatched areas in FIG. 20.
- FIG. 20 shows tooth 99.
- the vertex 100 of the nonimaging optic(s) (NIO) tooth is O and is positioned following beam collimation optimization according to the Louiville theorem as generally explained by Wilford.sup.(1) and Winston.sup.(2).
- arbitrary point Q 101 has two coordinates (x,z).
- the highest point 102 on the curved wall is P.
- the height of the tooth 103 is taken between P and O.
- the horizontal length of the straight wall is represented by 104.
- the z-coordinate of point Q is represented by 105.
- Point Q is also origin of the coordinate system.
- the lowest angle ( ⁇ ) of incident nays at point Q is represented by 106.
- the highest angle ( ⁇ ) of incident rays at point Q is represented by 107. This is also the maximum angle of beam divergence.
- TIR total internal reflection
- a bisect angle, equal to ##EQU25## is represented by 108.
- the incident angle ( ⁇ ) of bisect ray which is a central ray for the beam (or, ray bundle) approaching point Q, is represented by angle 109.
- Angle 110 is the reflection angle of bisect ray and is equal to angle 109.
- 111 represents the symmetrical angle ( ⁇ ) for bisect rays. It should be noted that symmetrical line 119 is perpendicular to tangential line 114. Therefore, the tangential angle is 90°- ⁇ (or, ⁇ /2- ⁇ ).
- 112 is a straight line (or, wall in cylindrical geometry) of the tooth.
- 113 is the tooth curve that characterizes the optimum NIO profile, minimizing divergence of the output beam. This is because, by contrast to the prism, the ray-bundle at any point at the surface is reflected symmetrically into vertical direction. This is due to the fact that the bisect line of any ray bundle is reflected exactly vertically.
- 114 is the tangential line into the curve at point Q.
- 115 is the incident ray at point O. This is the maximum divergence ray.
- 116 is the lowest inclination ray for the ray bundle at point Q.
- 117 is the highest inclination ray at point Q.
- 118 is the bisect ray for the ray bundle at point Q.
- 119 is the symmetrical line to bisect incident ray 118 and bisect reflected ray 120, which is precisely perpendicular to tangential line 119.
- 120 is the reflected ray into incident bisect ray 118 which is precisely vertical, or parallel to z-axis.
- 121 is the reflected ray to incident ray 115 which is also precisely vertical, according to the optimization principle.
- 122 is the lowest inclination incident at highest Point P, which has a horizontal direction.
- 123 is the highest inclination which is assumed to be ⁇ , in order to accommodate the maximum amount of rays.
- 124 is the bisect ray at point P.
- 125 is the reflected ray to bisect ray 114 which is always precisely vertical, according to the optimization principle.
- Equation (208) can be numerically calculated for various values of G and angles ⁇ .
- FIG. 21 shows a multiplication of the optical element shown in FIG. 20 for unidirectional illumination.
- FIG. 25 is a generalization of FIG. 24 for bi-directional illumination.
- the single sawtooth element from FIG. 22 has been illustrated in detail in FIG. 23 and multiplied in FIG. 24 in order to show a practical sawtooth applied to one side of the collimating waveguide as in FIG. 15.
- the curved surface 113 has been applied on both sides in FIG. 25.
- skew rays have not been considered in this analysis, for simplicity.
- FIG. 26 the structure from FIG. 25 is depicted with smooth lower vertices, in order to minimize the scattering at the edges.
- the shape of the curve in the vignetting effect curved tooth is a function not only of the geometry of the chasm defined by the first facet and the second facet of each optical element but also the output of the light engine. Thus, it is useful to consider the flux dispersion of the light engine and the flux dispersion within the collimating waveguide.
- the collimating waveguides of the present invention can be carried out by using any fabrication method.
- the manufacturing operation it is moreover an advantage to employ a replication/lamination method.
- Isosceles triangles can be cut when fabricating the master for replicating the collimating waveguide provided that there is no undercutting. Any undercutting inhibits mold release. There is a general degradation as you move from the master to the submaster to the finished part. Degradation removes the edges. Much of this degradation is due to the forces exerted during release. Thus, the shape on the master is not necessarily the finished facet structure. Although the facets themselves tend to become convex due to the release process, concave shapes are possible to make. Further, it is relatively easy to combine two facets to define a compound concave structure.
- a metal master can be machined with diamond tooling. Machining flat facet microgrooves with cylindrically variable angles is possible. A spherical or aspheric curve can be cut on a diamond and the resulting curved optical microelement could be as small as 50 microns. Variable angles are possible with curved facets as well. Variable spacing is possible with both flat facets and curved facets. In addition, imaging microlenses can be cut as small as 200 microns. However, the diamond tooling wears-out so it is advantageous to fabricate one master and then replicate a series of submasters.
- Liquid crystal displays can be high definition and/or low definition.
- the number of pixels can be, for example, 2000 ⁇ 2000. Presently the smallest size pixel resolution is approximately 20 microns. These LCDs produce undesirable pixeling effect. Viewers can actually see these pixel demarcations.
- a diffuser located between the collimating waveguide and the LCD is to cancel pixeling effect from the LCD.
- Such a use of a diffuser can be termed homogenizing.
- the directionality of the light emitted from the LCD can be optimized through the use of a diffuser with directional characteristics located on top of the LCD. This would allow a private limited viewing range from a laptop computer.
- Directional diffusers are non-Lambertian diffusers, optical properties of which are defined by planewave response as discussed in U.S. Pat. No. 5,365,354. It can be assumed that the incident waves are not fully collimated but have divergence of perhaps ⁇ 10°. Of course, the divergence from the diffuser cannot be less than the divergence that is reaching it. Typical values would be from approximately 1-40° half angle.
- the output would be approximately the same as the input with regard to divergence.
- Diffusers do not help in collimation.
- diffusers most definitely help in homogenization. Specifically, such diffusers can obviate pixeling from the LCD.
- a diffuser can be located between the groove structure and the LCD structure and/or a diffuser can be located after the LCD. In the former case, the diffuser will homogenize only the grid structure and not the pixels. In the latter case the diffuser would be homogenizing both structures.
- the first step is to create a master diffuser
- the second step is to record in a photosensitive medium with coherent light passed through the master diffuser
- the third step is to replicate the surface structure of the photosensitive medium with, for example, epoxy.
- a fourth and optional step is to make a metal electroform master from the epoxy for mass production purposes. In the alternative, an electroform master may be made directly from the master diffuser.
- a recording set-up 16 comprising a coherent laser light source 18, objective lens 200, master diffuser 22, and photosensitive medium 24.
- Coherent laser light source 18 is standard.
- the objective lens 200 is standard and may be a low or high magnification lens depending upon the desired characteristics of the photosensitive medium 24.
- the objective lens is spaced a distance X from the master diffuser 22.
- the master diffuser 22 may comprise a standard ground glass diffuser, a lenticular diffuser, an acetate diffuser, or a holographic diffuser.
- the ground glass, lenticular, and acetate diffusers are conventional and made in a conventional manner.
- a holographic master diffuser may itself first be recorded in the recording set-up shown in FIG. 18 with the holographic master diffuser to be recorded being positioned at 24 and a conventional ground glass diffuser being located at 22. That master diffuser may then be used to record into another photosensitive medium to be used as a light shaping holographic surface relief diffuser according to the present invention.
- a related set-up for recording volume holographic diffusers is described in U.S. Pat. No. 5,365,354.
- recording a holographic plate with coherent laser light passed through a conventional ground glass diffuser generates features called speckle in the volume of the hologram.
- the size, shape, and orientation of the speckle can be adjusted which in turn affects the angular spread of light scattered from the holographic diffuser upon playback.
- the size of the angular spread of the scattered light in other words, the angular distribution of the scattered light, depends on the average size and shape of the speckle. If the speckle are small, angular distribution will be broad.
- the shape of the angular distribution will be vertically elliptical.
- Speckle size is inversely proportional to the size of the aperture of the master diffuser. If the size of the aperture increases, the size of the speckle decreases and the size of the angular spread of the scattered light from the recorded photosensitive medium increases. Conversely, if the size of the master diffuser aperture decreases, the size of the speckle recorded in the diffuser increases and the angular spread of light scattered from the recorded photosensitive medium decreases. Thus, if the master diffuser aperture is long and narrow, the speckle will be long and narrow as well with their axes oriented perpendicularly to the axis of the aperture. This holds true for both volume holographic recording media as well as surface holographic recording media.
- volume holographic recording media as in U.S. Pat. No. 5,365,354, however, are disclosed there for their volume effect.
- the speckle recorded in the interior or volume of the medium was thought the only desired effect to be obtained from the material.
- DCG volume holographic angular spread
- DCG dichromated gelatin
- the size, shape, and orientation of the surface features recorded in photosensitive medium 24 is a function of a number of variables including the type of objective lens 200 and master diffuser 22 used, as well as the relative positioning of those components with respect to each other and with respect to the photosensitive medium 24. Ultimately, the desired results are obtained through empirical testing. In order to achieve a recorded photosensitive medium having a particular surface structure that can be replicated and comprise a light shaping holographic surface relief diffuser according to the present invention, it may be necessary to adjust the parameters discussed below to achieve the desired shape of the light output.
- the objective lens 200 expands the coherent laser light source 18 so that the area of incidence (or "apparent aperture") of light from the objective lens 200 on the master diffuser 22 is larger than that of the cross section of the laser beam itself.
- the light beam expands in accordance with the magnification of the objective lens 200.
- the aperture of light incident the master diffuser 22 will be smaller than with a large magnification objective lens, such as 60 ⁇ or greater, and therefore the size of the surface features recorded in the photosensitive medium 24 will be larger; the size of the aperture of light incident the master diffuser 22 is inversely related to the size of the surface features recorded in the photosensitive medium 24.
- the distance between the objective lens 200 and the master diffuser 22 must also be taken into account in achieving the desired sculpted surface structure recorded in the photosensitive medium 24.
- the size of the speckle increases. This occurs because as the objective lens 200 moves closer to the master diffuser 22, the apparent aperture of light incident the master diffuser 22 is smaller.
- the size of the speckle recorded in the photosensitive medium 24 is inversely related to the size of the apparent aperture on the master diffuser 22, the speckle will be larger. In turn, the increased speckle size recorded in the photosensitive medium 24 will result in a light shaping holographic surface relief diffuser which has decreased diffusion.
- the apparent aperture of light incident the master diffuser 22 will increase, thus decreasing the size of the speckle recorded in the photosensitive medium 24 and in turn increasing the amount of angular spread of the light shaping holographic surface relief diffuser.
- the distance Y between the master diffuser 22 and the photosensitive medium 24 also affects speckle size.
- the size of the speckle recorded in the photosensitive medium 24 decreases as well. This occurs because, assuming an expanded beam of light is produced at objective lens 200, as the photosensitive medium 24 is moved closer to the master diffuser 22, the light beam emanating from each of the irregularities in the master diffuser 22 will expand less by the time it reaches the photosensitive medium 24, thus producing smaller speckle.
- the distance Y is increased, the size of the speckle recorded will be increased.
- Predefined output areas that are "off-axis" with respect to the normal axis of the diffuser are achieved by tilting the photosensitive medium 24 around an axis normal to its surface.
- a 20° off axis diffuser may be achieved by fitting the photosensitive medium 24 roughly 20°.
- the shape of the speckle recorded in photosensitive medium 24 will be roughly round as will the shape of the angular output of a light shaping holographic surface relief diffuser made from photosensitive medium 24.
- a round output may also be achieved when a lenticular or an acetate sheet is used as a master diffuser 22.
- Lenticular sheets have tiny lens-like elements machined in them.
- Acetate diffusers are made by an extrusion and embossing process which also yields roughly round speckle. It is difficult to create or control the desired irregularities in acetate diffusers. With respect to lenticular diffusers, the surface effects necessary to achieve varying output shapes are complex machined macroscopic structures.
- a prerecorded holographic master diffuser is used as the master diffuser 22 as the master diffuser 22 as the master diffuser 22
- additional degrees of recording freedom are achieved because the master diffuser can be prerecorded with speckle having virtually any shape, size, and orientation as discussed further below. Speckle characteristics are more easily controlled using a holographic master diffuser.
- the master diffuser in the recording set-up in FIG. 18, the master diffuser must be able to transmit light so that it reaches the photosensitive medium 24 from the objective lens 200.
- a substrate is needed as part of the master diffuser 22, such as if a holographic master diffuser is used, the substrate should be capable of efficiently transmitting light.
- a glass substrate is preferable.
- holographic master diffusers are preferable because better uniformity of intensity in the photosensitive medium 24 is achieved, higher transmission efficiency through the master diffuser 22 is achieved, and the holographic master diffuser 22 causes less back scatter than a ground glass diffuser.
- a first generation holographic volume master diffuser may be made using a ground glass or acetate diffuser. This holographic diffuser can then be used to make a second generation holographic master diffuser, either volume or surface with greater control.
- light source 60 is located within space defined by mirror 70.
- Light source 60 can be a cold cathode fluorescent bulb or a hot cathode fluorescent bulb.
- Light from light source 60 is directed toward waveguide collimator 80.
- Light source 60 is connected to mirror 70 through fixture 90.
- Waveguide collimator 80 includes incident end 130.
- the bottom of waveguide collimator 80 is provided with a first plurality of substantially parallel optical elements 140.
- Each of the first plurality of substantially parallel optical elements 140 includes a first facet 142 and a second facet 144.
- Waveguide collimator 80 includes a top surface 146.
- Waveguide collimator 80 can also include a reflective end (not shown).
- Light engine 1100 is connected to waveguide collimator assembly 108.
- Light source 1200 is a linear array of light emitting diodes connected to a metallized mirror that is part of light engine 1100.
- light from the illumination source can be directly incident upon the incident end. This means that there is no structure between the illumination source and the incident end. For example, the space between the illumination source and the incident end should be occupied by air, or vacuum. By the absence of any structure between the illumination source and the incident end, a higher degree of collimation is achieved when light passes through the incident end in accordance with Snell's law.
- first distributed wedge collimating waveguide 150 includes a first plurality of substantially parallel optical elements 160. Each of this first plurality of substantially parallel optical elements 160 includes a first facet 162 that can be substantially flat and a second facet 164 that can be substantially flat. First distributed wedge collimating waveguide 150 also includes top surface 166. The angle ⁇ which is defined as the angle that the first facet 162 makes with the top surface 166 should be optimized. Second distributed collimating waveguide 170 is optically connected to first distributed wedge collimating waveguide 150. Second distributed wedge collimating waveguide 170 includes upper surface 172. First diffuser 180 for homogenizing light from upper surface 172 is optically connected to second distributed wedge collimating waveguide 170.
- An additional collimating waveguide including a plurality of imaging optics can be located between first diffuser 180 and second distributed wedge collimating waveguide 170.
- a diffuser can be located adjacent incident end 168.
- FIG. 12 shows a ray diagram for the apparatus depicted in FIG. 11.
- a ray is leaked at near zero degree angle to the top surface. It will be appreciated that this ray is emitted from the top of the diffuser toward the left.
- a ray is emitted from the top surface at an angle ⁇ . This ray emerges normal to the plane defined by the diffuser.
- a ray emerges from the top surface at an angle to ⁇ . It will be appreciated that this ray is emitted from the diffuser toward the right.
- first collimating waveguide 190 is provided with a first plurality of substantially parallel optical elements 195.
- Each of the first plurality of substantially parallel optical elements 195 includes a mirrored first facet 197 and a second facet 198.
- First collimating waveguide includes a top surface 196 and an incident end (not shown).
- Second collimating waveguide 210 is optically connected to the top surface 196.
- Second collimating waveguide 210 is provided with a plurality of substantially parallel imaging optics 220.
- Second collimating waveguide 210 includes upper surface 215.
- first collimating waveguide 230 includes top surface 231.
- First collimating waveguide 230 also includes an incident end (not shown) and a reflective end (not shown).
- First collimating waveguide 230 is provided with a first plurality of substantially parallel optical elements 240.
- Each of the first plurality of substantially parallel optical elements 240 includes a first facet 242 and a mirrored second facet 244.
- Second facet 244 is concave with respect to top surface 231.
- first facet 242 can also be concave with respect to top surface 231.
- first facet 242 is equivalent to the angular dispersion of the rays incident upon mirrored second facet 244 at the point being considered.
- the aspect ratio of the base of the elements is proportional to the ratio of divergence of the beams in horizontal and vertical.
- a first plurality of substantially parallel optical elements having concave facets have been replicated in a first collimating waveguide. It will be appreciated that the first plurality of substantially parallel optical elements are not continuous but rather have been segmented into a series of microchasms.
- a second plurality of substantially parallel imaging optics are shown replicated in a second collimating waveguide. It will be appreciated that the second plurality of substantially parallel optical elements have been segmented into spherically symmetric indentations.
- a first plurality of substantially parallel optical elements formed in a first collimating waveguide is shown.
- the first plurality of substantially parallel optical elements have mirrored first facets that are concave and mirrored second facets that are concave. It will be appreciated that concavity of the facets has been three dimensionally deviated so as to define scalloped edges so as to collimate skew rays.
- one light source is often preferred. This also allows for a more compact structural design.
- the use of two sources can be conjunctively combined with an optical element having opposed concave surfaces so as to preferentially direct flux upward where the flux is incident from both sides of the waveguide collimator.
- This opposed concave configuration is also applicable to the case where one light source is used in conjunction with a mirror on the reflective end of the collimating waveguide.
- a symmetrical identical backside is preferred. This will also effectively collimate much of the backscattered light.
- the back surface can be concave in a different configuration from the front surface.
- Preferred embodiments of the present invention can be identified one at a time by testing for the presence of collimated output.
- the test for the presence of collimated output can be carried out without undue experimentation by the use of the simple and conventional polarization experiments.
- guidance toward the next preferred embodiment can be based on the presence of homogeneity.
- the disclosed embodiments show a fluorescent bulb as the structure for performing the function of emitting light, but the structure for emitting light can be any other structure capable of performing the function of emitting light, including, by way of example an array of light emitting diodes (LEDs), or any other non-monochromatic light source, such as a strobe light.
- the illumination source can even be a monochromatic light source, albeit less commercially viable.
- the disclosed embodiments show cylindrical and conical microlenses as the structures for performing the function of imaging collimation, but the structure for imaging collimation can be any other structure capable of performing the function of changing the divergence light, including, by way of example a nonlinear optic such as a convection chamber.
- the disclosed embodiments show a light shaping diffuser as the structure for performing the function of shaping light, but the structure for shaping light can be any other structure capable of performing the function of shaping light, including, by way of example, a lens such as a Fresnel lens.
- a practical application of the present invention which has value within the technological arts is illuminating a liquid crystal display. Further, all the disclosed embodiments of the present invention are useful in conjunction with liquid crystal displays such as are used for the purpose of displaying data, or for the purpose of displaying an image, or the like. There are virtually innumerable uses for the present invention described herein, all of which need not be detailed here.
- the present invention described herein provides substantially improved results that are unexpected in that a very good output is obtained with relatively low power.
- the present invention described herein can be practiced without undue experimentation. The entirety of everything cited above or below is hereby expressly incorporated by reference.
- the compactness of the system could be enhanced by providing thinner illumination sources or thinner collimating waveguides.
- plastic is preferred for the collimating waveguide, any optically refractive material could be used in its place.
- the rest of the individual components need not be fabricated from the disclosed materials, but could be fabricated from virtually any suitable materials.
- the individual components need not be formed in the disclosed shapes, or assembled in the disclosed configuration, but could be provided in virtually any shape, and assembled in virtually any configuration, which collimate light so as to provide backlighting.
- the liquid crystal display system described herein is a physically separate module, it will be manifest that the liquid crystal display may be integrated into the apparatus with which it is associated.
- all the disclosed features of each disclosed embodiment can be combined with, or substituted for, the disclosed features of every other disclosed embodiment except where such features are mutually exclusive.
Abstract
Description
d sin 90°=D sin β (42)
-dI=aIρdx (1)
dI=-aAdx (4)
I=I.sub.o -aAx (5)
I=I.sub.I.sub.o e.sup.-aN (6C)
aN=3 I=I.sub.o e.sup.-3 ≈0.05 I.sub.o (18)
aN.sub.T =3 (19)
α-N(2γ)=α.sub.cond (49)
dP=-Aρdx (118)
ΔP=2γ sinβ-sin(β--2γ)! (113)
2γ.sub.c =2·10.sup.-3 =0.1° (140)
P→P(1-R-D) (300)
-dP=a(x)P(x) Δ-R(x)-D!ρdx (301)
a(x)P(x) Δ-R(x) -D!=const.=A' (302)
TABLE 1 ______________________________________ LEAKAGE ANGLE 2δ VERSUS WEDGE ANGLE γ FOR n = 1.55, γ 0.5° 1° 1.5° 2° ______________________________________ 2δ 11.6° 17.5° 21° 24.5° ______________________________________
TABLE 2 ______________________________________ SUMMARY OF EXEMPLARY PARAMETERS OF THE DISTRIBUTED WEDGE SYSTEM # PARAMETER SYMBOL VALUE ______________________________________ 1LENGTH L 20cm 2TOOTH DENSITY σ 10/mm 3 WEDGE REFRACTIVE INDEX n 1.55 4 WAVEGUIDE THICKNESS D 3 mm 5 POWER FRACTION AT THE END P.sub.L /P.sub.o 0.05 6 WEDGE ANGLE AT x = L γ.sub.L 0.74° 7 MAXIMUM LEAKAGE ANGLE AT x = L 2δ.sub.L 14° ______________________________________
Claims (67)
Priority Applications (8)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
US08/601,133 US5838403A (en) | 1996-02-14 | 1996-02-14 | Liquid crystal display system with internally reflecting waveguide for backlighting and non-Lambertian diffusing |
US08/782,962 US6072551A (en) | 1996-02-14 | 1997-01-13 | Backlight apparatus for illuminating a display with controlled light output characteristics |
JP9529460A JP2000504855A (en) | 1996-02-14 | 1997-02-12 | LCD back lighting |
PCT/US1997/002226 WO1997030373A1 (en) | 1996-02-14 | 1997-02-12 | Apparatus for lcd backlighting |
EP97906909A EP0880723B1 (en) | 1996-02-14 | 1997-02-12 | Apparatus for lcd backlighting |
DE69728754T DE69728754T2 (en) | 1996-02-14 | 1997-02-12 | REAR LIGHTING DEVICE OF A LIQUID CRYSTAL DISPLAY DEVICE |
CA002245833A CA2245833C (en) | 1996-02-14 | 1997-02-12 | Apparatus for lcd backlighting |
US09/193,584 US6130730A (en) | 1996-02-14 | 1998-11-17 | Backlight assembly for a display |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
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US08/601,133 US5838403A (en) | 1996-02-14 | 1996-02-14 | Liquid crystal display system with internally reflecting waveguide for backlighting and non-Lambertian diffusing |
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US08/782,962 Continuation-In-Part US6072551A (en) | 1996-02-14 | 1997-01-13 | Backlight apparatus for illuminating a display with controlled light output characteristics |
US09/193,584 Continuation US6130730A (en) | 1996-02-14 | 1998-11-17 | Backlight assembly for a display |
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US5838403A true US5838403A (en) | 1998-11-17 |
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US08/601,133 Expired - Lifetime US5838403A (en) | 1996-02-14 | 1996-02-14 | Liquid crystal display system with internally reflecting waveguide for backlighting and non-Lambertian diffusing |
US09/193,584 Expired - Lifetime US6130730A (en) | 1996-02-14 | 1998-11-17 | Backlight assembly for a display |
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